We look at the division of 3689 by 51 
Our goal is to divide 3689 by 51.

Moving on to step 1:
51 can be fit into 3 0 times, resulting in a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Append the next digit (6) from the dividend to 3 and continue with: 36 / 51

Step 2:
36 divided by 51 is 0 with a remainder of 36.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 36 leaves us with 36.
Fetch the next digit (8) from the dividend, attach it to 36 and continue: 368 / 51

Advancing to step 3:
If we divide 368 by 51, we get 7 and a remainder of 11.
Put 7 as the next digit of the answer. 
Result so far: 7.0
Deduct 357 from 368 and we're left with 11.
Take the next digit (9) from the dividend and append it to 11, then repeat: 119 / 51

On to step 4:
If we divide 119 by 51, we get 2 and a remainder of 17.
Write down 2 as next digit of the result. 
Result so far: 72.0
If we take 102 away from 119, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 5:
When dividing 170 by 51, we get 3 with a remainder of 17.
Put 3 as the next digit of the answer. 
Result so far: 72.3
Subtract 153 from 170 to get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 6:
51 goes into 170 3 times with a remainder of 17.
Record the quotient 3 as the next digit in the result. 
Result so far: 72.33
If we take 153 away from 170, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

After the division, we end up with 72.33 and a remainder of 0.017.